
06062408
b
2014b.00623
Arens, Tilo
Busam, Rolf
Hettlich, Frank
Karpfinger, Christian
Stachel, Hellmuth
Basic knowledge for the study of mathematics. Analysis and linear algebra with cross connections. With contributions by Klaus Lichtenegger. (Grundwissen Mathematikstudium. Analysis und Lineare Algebra mit Querverbindungen.)
Heidelberg: Springer Spektrum (ISBN 9783827423085/hbk; 9783827423092/ebook). xii, 1172~p. (2013).
2013
Heidelberg: Springer Spektrum
DE
I15
H15
A15
analysis
linear algebra
inequalities
functions
logic
sets
real numbers
linear systems
vector space
analytic geometry
sequences
linear applications
determinants
Riemann integral
metric spaces
number theory
optimization
Zbl 1279.00001
Zbl 1279.00003
doi:10.1007/9783827423092
This course is very useful for obtaining a basic knowledge in mathematics. In 1172 pages (26 chapters), the authors cover the main part of analysis and linear algebra. This book impresses by the form of its presentation. The introduced notions are doubled by numerical examples, or some small applications, in order to obtain a good understanding. The book deals with notions of set theory, logic, algebraic structures (groups, rings, fields, homomorphisms), sets of real numbers, linear systems, vector spaces, analytic geometry, sequences (convergence), continuous functions, matrices, determinants, differentials and integrals. The exercises and problems attached are firstly solved by indications, then complete solutions are provided.
Cristinel Mortici (T\^argovi\c{s}te)